165842085 has 32 divisors (see below), whose sum is σ = 275116032. Its totient is φ = 85250880.

The previous prime is 165842071. The next prime is 165842119. The reversal of 165842085 is 580248561.

It is not a de Polignac number, because 165842085 - 2⁴ = 165842069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45480 + ... + 48990.

It is an arithmetic number, because the mean of its divisors is an integer number (8597376).

Almost surely, 2^165842085 is an apocalyptic number.

165842085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165842085 is a deficient number, since it is larger than the sum of its proper divisors (109273947).

165842085 is a wasteful number, since it uses less digits than its factorization.

165842085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3633.

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 165842085 is about 12877.9689780648. The cubic root of 165842085 is about 549.4121377331.

The spelling of 165842085 in words is "one hundred sixty-five million, eight hundred forty-two thousand, eighty-five".